Pattern Around Us — Class 4 Mathematics (CBSE)
From the current NCERT Maths Mela Grade 4 book, Chapter 3. Patterns are all around us — in tiles, designs, and numbers. Let us learn to spot and make them.
1. Why this chapter matters
A pattern repeats by a rule. Spotting patterns helps us predict what comes next, do mental maths faster, and create beautiful designs. Patterns also show up in even and odd numbers and in the way tiles fit together.
2. Core ideas
Idea 1 — A pattern follows a rule
A pattern can be in shapes, colours, or numbers, and it repeats by a rule (for example, ▲●▲●▲●).
Method 2 — Find the rule, then extend
First find how the pattern grows or repeats, then continue it. In 2, 4, 6, 8, … the rule is "add 2", so next is 10.
Skill 3 — Even and odd numbers, and tiling
Even numbers end in 0, 2, 4, 6, 8; odd numbers end in 1, 3, 5, 7, 9. Tiling (tessellation) is when shapes fit together with no gaps.
3. Worked examples
Example 1: Continue the pattern: 5, 10, 15, 20, ___.
The rule is "add 5", so the next number is 25.
Example 2: Continue: ▲●●▲●●▲●● …
The unit "▲●●" repeats, so next is ▲ ● ●.
Example 3: Sort into even and odd: 7, 12, 15, 20.
Even: 12, 20 (end in 2 and 0). Odd: 7, 15 (end in 7 and 5).
4. Activity corner
Make your own pattern with two colours of beads or two shapes. Then write a number pattern with the rule "add 3". Write:
- Your shape/colour pattern and its rule
- Your number pattern and its rule
- The maths idea (a pattern follows a rule)
5. Common mistakes
- Mistake: Continuing a pattern without finding the rule. Fix: First work out the rule, then extend.
- Mistake: Calling a number even just because it is big. Fix: A number is even only if it ends in 0, 2, 4, 6, or 8.
- Mistake: Leaving gaps when tiling. Fix: In tiling, shapes fit together with no gaps or overlaps.
6. How to write better answers
- Look for the rule (what repeats or how it grows).
- Write the rule in words ("add 5", "▲●● repeats").
- Extend the pattern using the rule.
- For even/odd, check the last digit.
7. Practice set
- Continue the pattern: 3, 6, 9, 12, ___.
- What is the rule of the pattern 2, 4, 6, 8?
- Continue: ■ ▲ ■ ▲ ___.
- Sort into even and odd: 9, 14, 21, 30.
- What is tiling (tessellation)?
8. Answer key
- 15 (rule: add 3).
- The rule is "add 2".
- ■ (the unit ■ ▲ repeats).
- Even: 14, 30; Odd: 9, 21.
- Tiling is fitting shapes together with no gaps or overlaps.
9. Quick revision
- A pattern repeats by a rule (shapes, colours, or numbers).
- Find the rule first, then extend the pattern.
- Even numbers end in 0, 2, 4, 6, 8; odd numbers end in 1, 3, 5, 7, 9.
- Tiling (tessellation) fits shapes with no gaps.
- Patterns help us predict what comes next.
